| 寻找非线性电阻电路全解集的 GA-HPNN 方法 |
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| 引用本文： | 林家骏,王赞基.寻找非线性电阻电路全解集的 GA-HPNN 方法[J].清华大学学报(自然科学版),1998(9). |
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| 作者姓名： | 林家骏 王赞基 |
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| 作者单位： | 清华大学电机工程与应用电子技术系 |
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| 摘 要： | 利用群集遗传算法（ＮＩＣＨＥＤＧＡ，简称ＮＧＡ）中群集原理，提出了一种群集消除的思想。利用该思想可将多最大值最优化问题转化为满足群集消除条件的序贯最优化问题。利用非线性电阻电路方程组解与相应的最优化问题解的等价性，可将求取非线性电阻电路全解集的问题转化为满足群集消除条件的最优化问题。遗传算法和Ｈｏｐｆｉｅｌｄ神经网络组合算法（ＧＡ－ＨＰＮＮ）结合了遗传算法（ＧＡ）的全局寻优与Ｈｏｐｆｉｅｌｄ神经网络局部寻优特点，能以较高的精度与速度得到非线性电阻电路的全解集。算法的普适性较强。
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| 关 键 词： | 非线性电路 全解集 遗传算法 神经网络 最优化 |
Finding all solution sets of nonlinear circuit by using GA HPNN method |
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| LIN Jiajun,WANG Zanji.Finding all solution sets of nonlinear circuit by using GA HPNN method[J].Journal of Tsinghua University(Science and Technology),1998(9). |
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| Authors: | LIN Jiajun WANG Zanji |
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| Institution: | LIN Jiajun,WANG Zanji Department of Electrical Engineering,Tsinghua University,Beijing 100084,China |
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| Abstract: | Finding all solution sets of nonlinear resistive circuits is one of the most important research areas of nonlinear circuit theory. A new method, destroying niche (DN), is presented opposite to the crowding principle of the niched genetic algorithm (NGA). Based on DN the multiple solution optimization can be turned into the sequential single value optimization and new algorithm (GA HPNN) is proposed, which takes advantages both of global searching of GA and local searching of the Hopfield neural network (HPNN). With the equality between the solution of nonlinear equations and Utopia of nonlinear programming this algorithm can solve all solution sets for different nonlinear resistive circuits at higher convergence rate and more precise accuracy. |
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